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Finding the Third Proportional to 1,409,606 and 2,147,456

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Solution

The third proportional to 1,409,606 and 2,147,456 is: 3,271,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,606 : 2,147,456 = 2,147,456 : x
  2. Step 2: Convert to fraction form
    1,409,606/2,147,456 = 2,147,456/x
  3. Step 3: Cross multiply
    1,409,606x = 2,147,456 × 2,147,456
  4. Step 4: Simplify right side
    1,409,606x = 4,611,567,271,936
  5. Step 5: Solve for x
    x = 4,611,567,271,936/1,409,606
  6. Step 6: Final answer
    x = 3,271,529.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.